JEE Main Daily Practice Questions 4 January 2025

JEE Main Daily Practice Questions 4 January 2025

JEE Main Daily Practice Questions 4 January 2025: JEE Main Session 1 2025 will take place from January 22 to 31. Applicants preparing for the exam must focus on practising the JEE Main sample papers. Hence, here are some daily practice questions with answers for JEE Main 4 January  2025, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 4 January 2025

JEE Main Daily Practice Questions 4 January 2025: Physics

Candidates can check out the JEE Main daily practice questions 4 January 2025 from the Physics section:

Question 1: A torque meter is calibrated to reference standards of mass, length and time each with 5% accuracy. After calibration, the measured torque with this torque meter will have net accuracy of

(A) 15%

(B) 25%

(C) 75%

(D) 5%

Answer (B)

Question 2: Sand is being dropped from a stationary dropper at a rate of 0.5 kgs–1 on a conveyor belt moving with a velocity of 5 ms–l. The power needed to keep the belt moving with the same velocity will be

(A) 1.25 W

(B) 2.5 W

(C) 6.25 W

(D) 12.5 W

Answer (D)

Question 3: A bag is gently dropped on a conveyor belt moving at a speed of 2 m/s. The coefficient of friction between the conveyor belt and bag is 0.4. Initially the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion, is

[Take g = 10 m/s2]

(A) 2 m

(B) 0.5 m

(C) 3.2 m

(D) 0.8 ms

Answer (B)

Question 4: Two satellites A and B, having masses in the ratio 4 : 3, are revolving in circular orbits of radii 3r and 4r respectively around the earth. The ratio of total mechanical energy of A to B is

(A) 9 : 16

(B) 16 : 9

(C) 1 : 1

(D) 4 : 3

Answer (B)

Question 5: Two cylindrical vessels of equal cross-sectional area 16 cm2 contain water upto heights 100 cm and 150 cm respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is [Take, density of water = 103 kg/m3 and g = 10 ms–2]

(A) 0.25 J

(B) 1 J

(C) 8 J

(D) 12 J

Answer (B)

JEE Main Daily Practice Questions 4 January 2025: Chemistry

Candidates can check out the JEE Main daily practice questions 4 January 2025 from the Chemistry section:

Question 1: 250 g solution of D-glucose in water contains 10.8% of carbon by weight. The molality of the solution is nearest to (Given: Atomic Weights are, H, 1 u; C, 12 u; O, 16 u)

(A) 1.03

(B) 2.06

(C) 3.09

(D) 5.40

Answer (B)

Question 2: Given below are two statements.

Statement I: O2, Cu2+, and Fe3+ are weakly attracted by magnetic fields and are magnetized in the same direction as magnetic fields.

Statement II: NaCl and H2O are weakly magnetized in opposite directions to the magnetic field.

In the light of the above statements, choose the most appropriate answer from the options given below.

(A) Both Statement I and Statement II are correct.

(B) Both Statement I and Statement II are incorrect.

(C) Statement I is correct but Statement II is incorrect.

(D) Statement I is incorrect but Statement II is correct.

Answer (A)

Question 3: Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: Activated charcoal adsorbs SO2 more efficiently than CH4.

Reason R: Gases with lower critical temperatures are readily adsorbed by activated charcoal.

In the light of the above statements, choose the correct answer from the options given below.

(A) Both A and R are correct and R is the correct explanation of A.

(B) Both A and R are correct but R is NOT the correct explanation of A.

(C) A is correct but R is not correct.

(D) A is not correct but R is correct.

Answer (C)

Question 4: The boiling point of a 2% aqueous solution of a non- volatile solute A is equal to the boiling point of 8% aqueous solution of a non-volatile solute B. The relation between molecular weights of A and B is

(A) MA = 4MB

(B) MB = 4MA

(C) MA = 8MB

(D) MB = 8MA

Answer (B)

Question 5: Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: Energy of 2s orbital of hydrogen atom is greater than that of 2s orbital of lithium.

Reason R: Energies of the orbitals in the same subshell decrease with increase in the atomic number.

In the light of the above statements, choose the most appropriate answer from the options given below.

(A) Both A and R are correct and R is the correct explanation of A.

(B) Both A and R are correct but R is NOT the correct explanation of A

(C) A is correct but R is not correct

(D) A is not correct but R is correct

Answer (A)

JEE Main Daily Practice Questions 4 January 2025: Mathematics

Candidates can check out the JEE Main daily practice questions 4 January 2025 from the Maths section:

Problem 1: A man is observing, from the top of a tower, a boat speeding towards the tower from a certain point A, with uniform speed. At the point, angle of depression of the boat with the man’s eye is 30° (Ignore man’s height). After sailing for 20 seconds, towards the base of the tower (which is at the level of water), the boat has reached a point B, where the angle of depression is 45°. Then the time taken (in seconds) by the boat from B to reach the base of the tower is :

(1) 10(3)^⅓

(2) 10

(3) 10[(3)^½+1]

(4) 10[(3)^½-1]

Solution (3)

Problem 2: Let f, g : N → N such that f(n + 1) = f(n) + f(1)6n ϵN and g be any arbitrary function. Which of the following statements is NOT true ?

(1)  If g is onto, then fog is one-one

(2) If f is onto, then f(n) = n6nϵN

(3) f is one-one

(4)  If fog is one-one, then g is one-one

Solution (1)

Problem 3: The total number of positive integral solutions (x, y, z) such that xyz = 24 is :

(1) 36

(2) 30

(3) 45

(4) 24

Solution (2)

Problem 4: When a missile is fired at a ship, the probability that it is intercepted is ⅓ and the probability that the missile hits the target, given that it is ¾ not intercepted. If three missiles are fired independently from the ship, then the probability that all three hit the target, is :

(1) 1/27

(2) 3/8

(3) 3/4

(4) 1/8

Solution (4)

Problem 5: If a curve passes through the origin and the slope of the tangent to it at any point (x, y) is (x2 – 4x + y + 8)/ (x – 2), then this curve also passes through the point :

(1) (5, 5)

(2) (4, 5)

(3) (4, 4)

(4) (5, 4)

Solution (1)